Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Mehmet Zeki Sarıkaya"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided
Externí odkaz:
https://doaj.org/article/183271b39a2e4e0fb3dab6dfb7722f9a
Autor:
Gizem Kozan, Mehmet Zeki Sarıkaya
Publikováno v:
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, Vol 11, Iss 3, Pp 1463-1471 (2023)
Bu makalede amacımız, ağırlıklı Jensen eşitsizliği ile ilk olarak yeni bir integral eşitsizliği elde etmek ve bu eşitsizliğin uygulanması ile yeni ortalama eşitsizlikler elde edilecektir.
Externí odkaz:
https://doaj.org/article/7c26c275be0d4b2590235a652e01cc10
Publikováno v:
Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-23 (2022)
Abstract In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that the
Externí odkaz:
https://doaj.org/article/c392436636ac4be1b82f6178ab4c2c52
Publikováno v:
AIMS Mathematics, Vol 5, Iss 2, Pp 1147-1161 (2020)
Chebyshev type inequalities for the generalized fractional integral operators are studied based on two synchronous functions in a rather general form. The main results of this paper generalize some previous results obtained by the authors. We also pr
Externí odkaz:
https://doaj.org/article/4a31d261cf6e4060a51d1ff29cd74092
Publikováno v:
Journal of King Saud University: Science, Vol 30, Iss 2, Pp 193-203 (2018)
In this paper, we prove the correct q-Hermite–Hadamard inequality, some new q-Hermite–Hadamard inequalities, and generalized q-Hermite–Hadamard inequality. By using the left hand part of the correct q-Hermite–Hadamard inequality, we have a ne
Externí odkaz:
https://doaj.org/article/b5e4bc45f406499585145ffbc2847b93
Autor:
Fuat Usta, Mehmet Zeki Sarıkaya
Publikováno v:
International Journal of Analysis and Applications, Vol 14, Iss 2, Pp 162-166 (2017)
In this study, we wish to set up and present some new conformable fractional integral inequalities of the Gronwall type which have a great variety of implementation area in differential and integral equations.
Externí odkaz:
https://doaj.org/article/8125296ef6d649109c2638aa6885dfe4
Publikováno v:
An International Journal of Optimization and Control: Theories & Applications, Vol 7, Iss 2, Pp 205-215 (2017)
In this paper, using Riemann-Liouville integral operators, we establish new fractional in- tegral inequalities of Hermite-Hadamard-Fejer type for co-ordinated convex functions on a rectangle of R^2. The results presented here would provide extensions
Externí odkaz:
https://doaj.org/article/8563cc47266148759fd6a2def7fcfb0e
Publikováno v:
Journal of King Saud University: Science, Vol 29, Iss 3, Pp 380-387 (2017)
In this paper, we establish two identities for functions of two variables and apply them to give new Hermite–Hadamard type fractional integral inequalities for double fractional integrals involving functions whose derivatives are bounded or co-ordi
Externí odkaz:
https://doaj.org/article/0f0c0484d5b943b89de20eeadf9a80a8
Publikováno v:
International Journal of Analysis and Applications, Vol 13, Iss 1, Pp 98-107 (2017)
In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals. Relevant con
Externí odkaz:
https://doaj.org/article/dee8bc38a4fd47b085939b5598ded158
Publikováno v:
An International Journal of Optimization and Control: Theories & Applications, Vol 9, Iss 1 (2019)
In this paper, we establish the Hermite-Hadamard type inequalities for conformable fractional integral and we will investigate some integral inequalities connected with the left and right-hand side of the Hermite-Hadamard type inequalities for confor
Externí odkaz:
https://doaj.org/article/973069d1b25e4e128e5e010429b4d0ad